{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import tensorflow as tf\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import PIL.Image as Image\n",
    "image = Image.open('./test.jpg')\n",
    "image_array = np.array(image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(200, 200, 3)\n",
      "uint8\n"
     ]
    }
   ],
   "source": [
    "print(image_array.shape)\n",
    "print(image_array.dtype)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "w_r = tf.placeholder(shape=[None,None], dtype=tf.float32)\n",
    "w_g = tf.placeholder(shape=[None,None], dtype=tf.float32)\n",
    "w_b = tf.placeholder(shape=[None,None], dtype=tf.float32)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tensor(\"stack:0\", shape=(?, ?, 3), dtype=float32)\n"
     ]
    }
   ],
   "source": [
    "w_rgb = tf.stack([w_r, w_g, w_b], axis=2)\n",
    "print(w_rgb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "w_expand = tf.expand_dims(w_rgb, axis=-1)\n",
    "#w_expand = tf.expand_dims(w_expand, axis=3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tensor(\"ExpandDims:0\", shape=(?, ?, 3, 1), dtype=float32)\n"
     ]
    }
   ],
   "source": [
    "print(w_expand)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = tf.placeholder(shape=[None, None, 3], dtype=tf.uint8)\n",
    "inp = tf.to_float(x)\n",
    "#inp = inp/255 * 2 -1.0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "inp = tf.expand_dims(inp, axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "output = tf.nn.conv2d(inp, w_expand, strides=[1,1,1,1], padding='VALID')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "w_r_value = np.array([[-1,-2,-1], [0,0,0], [1,2,1]], dtype=float)\n",
    "w_g_value = np.array([[-1,-2,-1], [0,0,0], [1,2,1]], dtype=float)\n",
    "w_b_value = np.array([[-1,-2,-1], [0,0,0], [1,2,1]], dtype=float)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "sess = tf.Session()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "output_value = sess.run(output, feed_dict = {x:image_array,\n",
    "                                            w_r:w_r_value,\n",
    "                                            w_g:w_g_value,\n",
    "                                            w_b:w_b_value})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1, 198, 198, 1)\n"
     ]
    }
   ],
   "source": [
    "print(output_value.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "output_pic = np.squeeze(output_value)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(198, 198)\n"
     ]
    }
   ],
   "source": [
    "print(output_pic.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1d44a92fc18>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(image)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1d44aa942b0>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(output_pic,cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1d44a974ac8>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "w_r_value = np.array([[0,0,0,0,0], [0,0,0,0,0], [0,0,0,0,0], [0,0,0,0,0], [0,0,0,0,0]], dtype=float)\n",
    "w_g_value = np.array([[1,0,0,0,0], [0,1,0,0,0], [0,0,1,0,0], [0,0,0,1,0], [0,0,0,0,1]], dtype=float)\n",
    "w_b_value = np.array([[0,0,0,0,0], [0,0,0,0,0], [0,0,0,0,0], [0,0,0,0,0], [0,0,0,0,0]], dtype=float)\n",
    "w_value, output_value = sess.run([w_expand,output], feed_dict = {x:image_array,\n",
    "                                            w_r:w_r_value,\n",
    "                                            w_g:w_g_value,\n",
    "                                            w_b:w_b_value})\n",
    "plt.imshow(np.squeeze(output_value),cmap='gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1d44ac18470>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "w_r_value = np.array([[-1,-2,-1], [0,0,0], [1,2,1]], dtype=float)\n",
    "w_g_value = np.array([[-1,-2,-1], [0,0,0], [1,2,1]], dtype=float)\n",
    "w_b_value = np.array([[-1,-2,-1], [0,0,0], [1,2,1]], dtype=float)\n",
    "output_value = sess.run(output, feed_dict = {x:image_array,\n",
    "                                            w_r:w_r_value,\n",
    "                                            w_g:w_g_value,\n",
    "                                            w_b:w_b_value})\n",
    "w_r_value = np.array([[-1,0,1], [-2,0,2], [-1,0,1]], dtype=float)\n",
    "w_g_value = np.array([[-1,0,1], [-2,0,2], [-1,0,1]], dtype=float)\n",
    "w_b_value = np.array([[-1,0,1], [-2,0,2], [-1,0,1]], dtype=float)\n",
    "output_value2 = sess.run(output, feed_dict = {x:image_array,\n",
    "                                            w_r:w_r_value,\n",
    "                                            w_g:w_g_value,\n",
    "                                            w_b:w_b_value})\n",
    "plt.imshow(np.squeeze(output_value+output_value2),cmap='gray')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\t3\t6\t9\t12\t15\t18\t21\t\n",
      "30\t33\t36\t39\t42\t45\t48\t51\t\n",
      "60\t63\t66\t69\t72\t75\t78\t81\t\n",
      "90\t93\t96\t99\t102\t105\t108\t111\t\n",
      "120\t123\t126\t129\t132\t135\t138\t141\t\n",
      "150\t153\t156\t159\t162\t165\t168\t171\t\n",
      "180\t183\t186\t189\t192\t195\t198\t201\t\n",
      "210\t213\t216\t219\t222\t225\t228\t231\t\n",
      "----------\n",
      "1\t4\t7\t10\t13\t16\t19\t22\t\n",
      "31\t34\t37\t40\t43\t46\t49\t52\t\n",
      "61\t64\t67\t70\t73\t76\t79\t82\t\n",
      "91\t94\t97\t100\t103\t106\t109\t112\t\n",
      "121\t124\t127\t130\t133\t136\t139\t142\t\n",
      "151\t154\t157\t160\t163\t166\t169\t172\t\n",
      "181\t184\t187\t190\t193\t196\t199\t202\t\n",
      "211\t214\t217\t220\t223\t226\t229\t232\t\n",
      "----------\n",
      "2\t5\t8\t11\t14\t17\t20\t23\t\n",
      "32\t35\t38\t41\t44\t47\t50\t53\t\n",
      "62\t65\t68\t71\t74\t77\t80\t83\t\n",
      "92\t95\t98\t101\t104\t107\t110\t113\t\n",
      "122\t125\t128\t131\t134\t137\t140\t143\t\n",
      "152\t155\t158\t161\t164\t167\t170\t173\t\n",
      "182\t185\t188\t191\t194\t197\t200\t203\t\n",
      "212\t215\t218\t221\t224\t227\t230\t233\t\n",
      "----------\n",
      "1.0\t0.0\t0.0\t\n",
      "0.0\t1.0\t0.0\t\n",
      "0.0\t0.0\t1.0\t\n",
      "----------\n",
      "0.0\t1.0\t0.0\t\n",
      "0.0\t1.0\t0.0\t\n",
      "0.0\t1.0\t0.0\t\n",
      "----------\n",
      "0.0\t0.0\t0.0\t\n",
      "1.0\t1.0\t1.0\t\n",
      "0.0\t0.0\t0.0\t\n",
      "----------\n",
      "306.0\t333.0\t360.0\t387.0\t414.0\t441.0\t468.0\t495.0\t\n",
      "576.0\t603.0\t630.0\t657.0\t684.0\t711.0\t738.0\t765.0\t\n",
      "846.0\t873.0\t900.0\t927.0\t954.0\t981.0\t1008.0\t1035.0\t\n",
      "1116.0\t1143.0\t1170.0\t1197.0\t1224.0\t1251.0\t1278.0\t1305.0\t\n",
      "1386.0\t1413.0\t1440.0\t1467.0\t1494.0\t1521.0\t1548.0\t1575.0\t\n",
      "1656.0\t1683.0\t1710.0\t1737.0\t1764.0\t1791.0\t1818.0\t1845.0\t\n",
      "1926.0\t1953.0\t1980.0\t2007.0\t2034.0\t2061.0\t2088.0\t2115.0\t\n",
      "2196.0\t2223.0\t2250.0\t2277.0\t2304.0\t2331.0\t2358.0\t2385.0\t\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "from __future__ import print_function\n",
    "\n",
    "x_mock = np.array(range(300))\n",
    "x_mock = x_mock.reshape([10,10,3])\n",
    "\n",
    "w_r_value = np.array([[1,0,0], [0,1,0], [0,0,1]], dtype=float)\n",
    "w_g_value = np.array([[0,1,0], [0,1,0], [0,1,0]], dtype=float)\n",
    "w_b_value = np.array([[0,0,0], [1,1,1], [0,0,0]], dtype=float)\n",
    "\n",
    "kernel = np.stack([w_r_value, w_g_value, w_b_value], axis=2)\n",
    "for depth in range(3):\n",
    "    for height in range(10-2):\n",
    "        for width in range(10-2):\n",
    "            print(x_mock[height][width][depth], end='\\t')\n",
    "        print('')\n",
    "    print('----------')\n",
    "\n",
    "for depth in range(3):\n",
    "    for height in range(3):\n",
    "        for width in range(3):\n",
    "            print(kernel[height][width][depth], end='\\t')\n",
    "        print('')\n",
    "    print('----------')\n",
    "output_numpy = np.zeros([8,8])\n",
    "for height in range(10-2):\n",
    "    for width in range(10-2):\n",
    "        along_depth_sum = 0\n",
    "        for depth in range(3):\n",
    "            depth_result = (x_mock[height:height+3, width:width+3, depth] * kernel[depth]).sum()\n",
    "            along_depth_sum += depth_result\n",
    "        output_numpy[height][width] = along_depth_sum\n",
    "\n",
    "for height in range(10-2):\n",
    "    for width in range(10-2):\n",
    "        print(output_numpy[height][width], end='\\t')\n",
    "    print('')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "w_r_value = np.array([[1,0,0], [0,1,0], [0,0,1]], dtype=float)\n",
    "w_g_value = np.array([[0,1,0], [0,1,0], [0,1,0]], dtype=float)\n",
    "w_b_value = np.array([[0,0,0], [1,1,1], [0,0,0]], dtype=float)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "306"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "0+33+66 + 4+34+64 + 32+35+38"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "333"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "3+36+69 + 7+37+67 + 35+38+41"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "w_value, output_value = sess.run([w_expand,output], feed_dict = {x:x_mock,\n",
    "                                            w_r:w_r_value,\n",
    "                                            w_g:w_g_value,\n",
    "                                            w_b:w_b_value})\n",
    "#print(x_mock)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[[ 1.  0.  0.]\n",
      "  [ 0.  1.  0.]\n",
      "  [ 0.  0.  1.]]\n",
      "\n",
      " [[ 0.  0.  0.]\n",
      "  [ 1.  1.  1.]\n",
      "  [ 0.  0.  0.]]\n",
      "\n",
      " [[ 0.  1.  0.]\n",
      "  [ 0.  1.  0.]\n",
      "  [ 0.  1.  0.]]]\n",
      "[[[  0  30  60  90 120 150 180 210 240 270]\n",
      "  [  3  33  63  93 123 153 183 213 243 273]\n",
      "  [  6  36  66  96 126 156 186 216 246 276]\n",
      "  [  9  39  69  99 129 159 189 219 249 279]\n",
      "  [ 12  42  72 102 132 162 192 222 252 282]\n",
      "  [ 15  45  75 105 135 165 195 225 255 285]\n",
      "  [ 18  48  78 108 138 168 198 228 258 288]\n",
      "  [ 21  51  81 111 141 171 201 231 261 291]\n",
      "  [ 24  54  84 114 144 174 204 234 264 294]\n",
      "  [ 27  57  87 117 147 177 207 237 267 297]]\n",
      "\n",
      " [[  1  31  61  91 121 151 181 211 241 271]\n",
      "  [  4  34  64  94 124 154 184 214 244 274]\n",
      "  [  7  37  67  97 127 157 187 217 247 277]\n",
      "  [ 10  40  70 100 130 160 190 220 250 280]\n",
      "  [ 13  43  73 103 133 163 193 223 253 283]\n",
      "  [ 16  46  76 106 136 166 196 226 256 286]\n",
      "  [ 19  49  79 109 139 169 199 229 259 289]\n",
      "  [ 22  52  82 112 142 172 202 232 262 292]\n",
      "  [ 25  55  85 115 145 175 205 235 265 295]\n",
      "  [ 28  58  88 118 148 178 208 238 268 298]]\n",
      "\n",
      " [[  2  32  62  92 122 152 182 212 242 272]\n",
      "  [  5  35  65  95 125 155 185 215 245 275]\n",
      "  [  8  38  68  98 128 158 188 218 248 278]\n",
      "  [ 11  41  71 101 131 161 191 221 251 281]\n",
      "  [ 14  44  74 104 134 164 194 224 254 284]\n",
      "  [ 17  47  77 107 137 167 197 227 257 287]\n",
      "  [ 20  50  80 110 140 170 200 230 260 290]\n",
      "  [ 23  53  83 113 143 173 203 233 263 293]\n",
      "  [ 26  56  86 116 146 176 206 236 266 296]\n",
      "  [ 29  59  89 119 149 179 209 239 269 299]]]\n",
      "306.0\t333.0\t360.0\t387.0\t414.0\t441.0\t468.0\t495.0\t\n",
      "576.0\t603.0\t630.0\t657.0\t684.0\t711.0\t738.0\t765.0\t\n",
      "846.0\t873.0\t900.0\t927.0\t954.0\t981.0\t1008.0\t1035.0\t\n",
      "1116.0\t1143.0\t1170.0\t1197.0\t1224.0\t1251.0\t1278.0\t1305.0\t\n",
      "1386.0\t1413.0\t1440.0\t1467.0\t1494.0\t1521.0\t1548.0\t1575.0\t\n",
      "1656.0\t1683.0\t1710.0\t1737.0\t1764.0\t1791.0\t1818.0\t1845.0\t\n",
      "1926.0\t1953.0\t1980.0\t2007.0\t1522.0\t1549.0\t1576.0\t1603.0\t\n",
      "1684.0\t1711.0\t1738.0\t1509.0\t1024.0\t539.0\t566.0\t593.0\t\n"
     ]
    }
   ],
   "source": [
    "print(w_value.squeeze().transpose([2,1,0]))\n",
    "print(x_mock.transpose([2,1,0]))\n",
    "output_value = output_value.squeeze()\n",
    "for height in range(10-2):\n",
    "    for width in range(10-2):\n",
    "        print(output_value[height][width], end='\\t')\n",
    "    print('')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "0+33+66 + 31+34+37+5+35+65"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "print(0+33+66 + 4+34+64 + 32+35+38)\n",
    "print(30+63+96 + 34+64+94 + 62+65+68)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "30+63+96+35+65+95+61+64+67"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n",
    "x = tf.placeholder([None, None, None, 3], dtype=tf.float32)\n",
    "W = tf.Variable(tf.truncated_normal([3, 3, 3, 32], stddev=0.1))\n",
    "b = tf.Variable(tf.zeros([32]))\n",
    "logits = tf.nn.conv2d(x, W, strides=[1, 1, 1, 1], padding='SAME') + b\n",
    "output = tf.nn.relu(logits)\n",
    "\n",
    "\n",
    "\n",
    "tf.nn.conv2d(x, W, strides=[1, 1, 1, 1], padding='SAME')"
   ]
  }
 ],
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